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Infinite-dimensional algebraic Spin (N) structure in extended/higher dimensional SUSY holoraumy for valise and on shell supermultiplet representations
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Infinite-dimensional algebraic Spin (N) structure in extended/higher dimensional SUSY holoraumy for valise and on shell supermultiplet representations

S. James Gates, Gabriel Hannon, Rui Xian Siew and Kory Stiffler
The journal of high energy physics, Vol.2022(5), p.173
05/25/2022
DOI: 10.1007/JHEP05(2022)173
url
https://doi.org/10.1007/JHEP05(2022)173View
Published (Version of record) Open Access

Abstract

We explore the relationship between holoraumy and Hodge duality beyond four dimensions. We find this relationship to be ephemeral beyond six dimensions: it is not demanded by the structure of such supersymmetrical theories. In four dimensions for the case of the vector-tensor N = 4 multiplet, however, we show that such a linkage is present. Reduction to 1D theories presents evidence for a linkage from higher-dimensional supersymmetry to an infinite-dimensional algebra extending Spin(N).
Physical Sciences Physics Physics, Particles & Fields Science & Technology

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